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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 920 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is smaller: −1/7 or −1/2? (a) −1/7 (b) −1/2
  2. 2.Which is bigger: −1/4 or −5/6? (a) −5/6 (b) −1/4
  3. 3.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  4. 4.What is 1/6 − (−2/3)? (a) 1/3 (b) 5/6 (c) −5/6 (d) −1/2
  5. 5.Which is smaller: −5/8 or 8/9? (a) 8/9 (b) −5/8
  6. 6.Is 7/5 positive or negative? (a) Negative (b) Positive
  7. 7.What is the additive inverse of −1/8? (a) −1/8 (b) 8 (c) −8 (d) 1/8
  8. 8.What is 1/6 − (−7/8)? (a) −25/24 (b) 4/7 (c) −17/24 (d) 25/24
  9. 9.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  10. 10.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −1/7 (c) 1/7 (d) −7
  11. 11.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −4/12 (d) −1/3
  12. 12.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  13. 13.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  14. 14.What is (−1/7) + (−2/9)? (a) −23/63 (b) 5/63 (c) −3/16 (d) 23/63
  15. 15.Which is bigger: −7/9 or 3/8? (a) −7/9 (b) 3/8
  16. 16.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−5/8) + 1/2? (a) −9/8 (b) −2/5 (c) 1/8 (d) −1/8
  18. 18.What is (−2/3) + (−1/9)? (a) −1/4 (b) 7/9 (c) −7/9 (d) −5/9
  19. 19.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −12/20 (c) −5/3 (d) −3/5
  20. 20.What is (−2/9) − (−1/6)? (a) −1/18 (b) 1/18 (c) −7/18 (d) −1/15
  21. 21.Is 1/8 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−5/7) − (−1/4)? (a) −4/11 (b) −27/28 (c) −13/28 (d) 13/28
  23. 23.Which is bigger: −1/2 or 8/9? (a) 8/9 (b) −1/2
  24. 24.Write −10/12 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −10/12 (d) 5/6
  25. 25.What is 3/4 − (−1/5)? (a) 19/20 (b) 4/9 (c) 11/20 (d) −19/20
  26. 26.Which is bigger: −8/9 or 7/9? (a) 7/9 (b) −8/9
  27. 27.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −6/21
  28. 28.What is the additive inverse of 5/6? (a) 6/5 (b) 5/6 (c) −5/6 (d) −6/5
  29. 29.What is the additive inverse of 5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  30. 30.What is (−1/3) − (−1/6)? (a) −1/6 (b) 1/6 (c) 0 (d) −1/2
  31. 31.What is the additive inverse of −3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  32. 32.Which is smaller: −1/9 or −3/4? (a) −1/9 (b) −3/4
  33. 33.What is 4/5 + (−1/5)? (a) 1 (b) −3/5 (c) 3/10 (d) 3/5
  34. 34.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  35. 35.Is 9/4 positive or negative? (a) Negative (b) Positive
  36. 36.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −3/4 or −5/8? (a) −5/8 (b) −3/4
  38. 38.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  39. 39.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −9/15
  40. 40.What is (−3/7) + 5/8? (a) −59/56 (b) −11/56 (c) 11/56 (d) 2/15

Answer key

  1. −1/2
  2. −1/4
  3. −9/7
  4. 5/6
  5. −5/8
  6. Positive
  7. 1/8
  8. 25/24
  9. 1/6
  10. −7
  11. −1/3
  12. 8
  13. −5/3
  14. −23/63
  15. 3/8
  16. Positive
  17. −1/8
  18. −7/9
  19. −3/5
  20. −1/18
  21. Positive
  22. −13/28
  23. 8/9
  24. −5/6
  25. 19/20
  26. 7/9
  27. −2/7
  28. −5/6
  29. −5/7
  30. −1/6
  31. 3/4
  32. −3/4
  33. 3/5
  34. −8/9
  35. Positive
  36. Positive
  37. −5/8
  38. 9/2
  39. −3/5
  40. 11/56

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